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Finding the Fourth Proportional to 512,327.11, 707,022.65 and 282,883.78

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Solution

The fourth proportional to 512,327.11, 707,022.65 and 282,883.78 is: 390,385.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,327.11 : 707,022.65 = 282,883.78 : x
  2. Step 2: Convert to fraction form
    512,327.11/707,022.65 = 282,883.78/x
  3. Step 3: Cross multiply
    512,327.11x = 707,022.65 × 282,883.78
  4. Step 4: Simplify right side
    512,327.11x = 200,005,236,595.99
  5. Step 5: Solve for x
    x = 200,005,236,595.99/512,327.11
  6. Step 6: Final answer
    x = 390,385.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.